For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. In a random sample of 66 professional actors, it was found that 36 were extroverts.   (a)Let p represent the proportion of all actors who are extroverts. Find point estimates for p and q. (Round your answer to four decimal places.) p̂= q̂=   (b)Find a 95% confidence interval for p. Find the maximal margin of error. (Round your answer to two decimal places.) E =    Report the bounds from the 95% confidence interval for p. (Round your answers to two decimal places.) lower limit upper limit

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.
In a random sample of 66 professional actors, it was found that 36 were extroverts.
 
(a)Let p represent the proportion of all actors who are extroverts. Find point estimates for p and q. (Round your answer to four decimal places.)
p̂=
q̂=
 
(b)Find a 95% confidence interval for p.
Find the maximal margin of error. (Round your answer to two decimal places.)
E = 
 
Report the bounds from the 95% confidence interval for p. (Round your answers to two decimal places.)
lower limit
upper limit
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